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Student Distribution Analysis

2.18 Distribution of students according to Faculty and Professional Courses

Faculty Courses Commerce Science Total
Boys Girls Total Boys Girls Total Boys Girls Total
Courses Part-time Management 30 (Given) 10 (Given) 40 (Step 1: 30 + 10) 50 (Given) 10 (Step 2: 60 - 50) 60 (Step 3: 50 + 10) 80 (Step 4: 30 + 50) 20 (Step 5: 100 - 80) 100 (Given)
CA only 150 (Step 10: 180 - 16 - 6 - 8) 8 (Step 6: 30 - 10 - 2 - 10) 158 (Step 11: 150 + 8) 16 (Step 7: 110 - 50 - 37 - 7) 6 (Step 8: 20 - 10 - 3 - 1) 22 (Step 9: 16 + 6) 166 (Step 12: 150 + 16) 14 (Step 13: 8 + 6) 180 (Given)
Costing only 90 (Given) 10 (Step 14: 30 - 8 - 2 - 10) 100 (Step 15: 90 + 10) 37 (Step 16: 127 - 90) 3 (Step 17: 20 - 10 - 6 - 1) 40 (Step 18: 37 + 3) 127 (Step 19: 90 + 37) 13 (Given) 140 (Given)
CA and Costing 70 (Given) 2 (Step 20: 72 - 70) 72 (Given) 7 (Step 21: 110 - 50 - 16 - 37) 1 (Step 22: 20 - 10 - 6 - 3) 8 (Step 23: 7 + 1) 77 (Step 24: 70 + 7) 3 (Step 25: 2 + 1) 80 (Given)
Total 340 (Step 26: 30 + 150 + 90 + 70) 30 (Step 27: 10 + 8 + 10 + 2) 370 (Given) 110 (Given) 20 (Step 28: 10 + 6 + 3 + 1) 130 (Given) 450 (Step 29: 340 + 110) 50 (Step 30: 30 + 20) 500 (Step 31: 370 + 130)

Calculation Sequence:

  1. Part-time Management Commerce Total: 30 (Commerce Boys) + 10 (Commerce Girls) = 40
  2. Part-time Management Science Girls: 60 (Science Total) - 50 (Science Boys) = 10
  3. Part-time Management Science Total: 50 (Science Boys) + 10 (Science Girls, from Step 2) = 60
  4. Part-time Management Total Boys: 30 (Commerce Boys) + 50 (Science Boys) = 80
  5. Part-time Management Total Girls: 100 (Grand Total) - 80 (Part-time Management Total Boys) = 20
  6. CA only Commerce Girls: 30 (Total Commerce Girls) - 10 (PTM Commerce Girls) - 2 (CA and Costing Commerce Girls) - 10 (Costing only Commerce Girls) = 8
  7. CA only Science Boys: 110 (Total Science Boys) - 50 (PTM Science Boys) - 37 (Costing only Science Boys) - 7 (CA and Costing Science Boys) = 16
  8. CA only Science Girls: 20 (Total Science Girls) - 10 (PTM Science Girls) - 3 (Costing only Science Girls) - 1 (CA and Costing Science Girls) = 6
  9. CA only Science Total: 16 (Science Boys) + 6 (Science Girls) = 22
  10. CA only Commerce Boys: 180 (CA only Total) - 16 (CA only Science Boys) - 6 (CA only Science Girls) - 8 (CA only Commerce Girls) = 150
  11. CA only Commerce Total: 150 (Commerce Boys) + 8 (Commerce Girls) = 158
  12. CA only Total Boys: 150 (Commerce Boys) + 16 (Science Boys) = 166
  13. CA only Total Girls: 8 (Commerce Girls) + 6 (Science Girls) = 14
  14. Costing only Commerce Girls: 30 (Total Commerce Girls) - 10 (PTM Commerce Girls) - 8 (CA only Commerce Girls) - 2 (CA and Costing Commerce Girls) = 10
  15. Costing only Commerce Total: 90 (Commerce Boys) + 10 (Commerce Girls) = 100
  16. Costing only Science Boys: 127 (Costing only Total Boys) - 90 (Costing only Commerce Boys) = 37
  17. Costing only Science Girls: 20 (Total Science Girls) - 10 (PTM Science Girls) - 6 (CA only Science Girls) - 1 (CA and Costing Science Girls) = 3
  18. Costing only Science Total: 37 (Science Boys) + 3 (Science Girls) = 40
  19. Costing only Total Boys: 90 (Commerce Boys) + 37 (Science Boys) = 127
  20. CA and Costing Commerce Girls: 72 (CA and Costing Commerce Total) - 70 (CA and Costing Commerce Boys) = 2
  21. CA and Costing Science Boys: 110 (Total Science Boys) - 50 (PTM Science Boys) - 16 (CA only Science Boys) - 37 (Costing only Science Boys) = 7
  22. CA and Costing Science Girls: 20 (Total Science Girls) - 10 (PTM Science Girls) - 6 (CA only Science Girls) - 3 (Costing only Science Girls) = 1
  23. CA and Costing Science Total: 7 (Science Boys) + 1 (Science Girls) = 8
  24. CA and Costing Total Boys: 70 (Commerce Boys) + 7 (Science Boys) = 77
  25. CA and Costing Total Girls: 2 (Commerce Girls) + 1 (Science Girls) = 3
  26. Commerce Boys Total: 30 (PTM) + 150 (CA Only) + 90 (Costing Only) + 70 (CA and Costing) = 340
  27. Commerce Girls Total: 10 (PTM) + 8 (CA Only) + 10 (Costing Only) + 2 (CA and Costing) = 30
  28. Science Girls Total: 10 (PTM) + 6 (CA Only) + 3 (Costing Only) + 1 (CA and Costing) = 20
  29. Total Boys: 340 (Commerce Boys Total) + 110 (Science Boys Total) = 450
  30. Total Girls: 30 (Commerce Girls Total) + 20 (Science Girls Total) = 50
  31. Grand Total: 370 (Commerce Total) + 130 (Science Total) = 500

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